@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re(y/x)>-\frac{1}{2}}}$ 
\realpart@@{(y/x)}>-\frac{1}{2}
+Normal rank
@@ Property / Symbols used @@
+Q10759
@@ Property / Symbols used: Q10759 / rank @@
+Normal rank
@@ Property / Symbols used: Q10759 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$ 
\Pochhammersym{\NVar{a}}{\NVar{n}}
@@ Property / Symbols used: Q10759 / qualifier @@
+xml-id: C5.S2.SS3.m1ahdec
@@ Property / Symbols used @@
+Whittaker confluent hypergeometric function
@@ Property / Symbols used: Whittaker confluent hypergeometric function / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$ 
\WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}
+xml-id: C13.S14.E3.m2abdec
@@ Property / Symbols used @@
+base of natural logarithm
@@ Property / Symbols used: base of natural logarithm / rank @@
+Normal rank
@@ Property / Symbols used: base of natural logarithm / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{e}}}$ 
\expe
@@ Property / Symbols used: base of natural logarithm / qualifier @@
+xml-id: C4.S2.E11.m2ahdec
@@ Property / Symbols used @@
+Q10755
@@ Property / Symbols used: Q10755 / rank @@
+Normal rank
@@ Property / Symbols used: Q10755 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle!}}$ 
!
@@ Property / Symbols used: Q10755 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r15.m5ahdec
@@ Property / Symbols used @@
+Q10811
@@ Property / Symbols used: Q10811 / rank @@
+Normal rank
@@ Property / Symbols used: Q10811 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Re}}$ 
\realpart@@
@@ Property / Symbols used: Q10811 / qualifier @@
+xml-id: C1.S9.E2.m1abdec
@@ Property / Symbols used @@
+Q11559
@@ Property / Symbols used: Q11559 / rank @@
+Normal rank
@@ Property / Symbols used: Q11559 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q11559 / qualifier @@
+xml-id: C13.S1.XMD2.m1hdec
@@ Property / Symbols used @@
+Q11566
@@ Property / Symbols used: Q11566 / rank @@
+Normal rank
@@ Property / Symbols used: Q11566 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11566 / qualifier @@
+xml-id: C13.S1.XMD4.m1hdec
@@ Property / Symbols used @@
+Q11580
@@ Property / Symbols used: Q11580 / rank @@
+Normal rank
@@ Property / Symbols used: Q11580 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle y}}$ 
y
@@ Property / Symbols used: Q11580 / qualifier @@
+xml-id: C13.S1.XMD5.m1hdec

DLMF:13.26.E9 (Q4661): Difference between revisions

ℜ ⁡ ( y / x ) > - 1 2 𝑦 𝑥 1 2 {\displaystyle{\displaystyle\Re(y/x)>-\frac{1}{2}}}

( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

W κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

e {\displaystyle{\displaystyle\mathrm{e}}}

! {\displaystyle{\displaystyle!}}

ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}

n 𝑛 {\displaystyle{\displaystyle n}}

x 𝑥 {\displaystyle{\displaystyle x}}

y 𝑦 {\displaystyle{\displaystyle y}}

Latest revision as of 01:07, 2 January 2020

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${\displaystyle{\displaystyle\Re(y/x)>-\frac{1}{2}}}$

${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$

${\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle\mathrm{e}}}$

${\displaystyle{\displaystyle!}}$

${\displaystyle{\displaystyle\Re}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle y}}$